Generalized zeta regularizations, quantum class number formulas, and Appell's O-functions

Nobushige Kurokawa, Masato Wakayama

Research output: Contribution to journalArticle

8 Citations (Scopus)

Abstract

We introduce a generalized notion of the zeta regularization. As applications we show the quantum analogue of the Lerch formula and of the Dirichlet class number formulas. We also give some further examples related to Appell's O-functions.

Original languageEnglish
Pages (from-to)291-303
Number of pages13
JournalRamanujan Journal
Volume10
Issue number3
DOIs
Publication statusPublished - Dec 1 2005

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Class number
Regularization
Dirichlet
Analogue

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

Cite this

Generalized zeta regularizations, quantum class number formulas, and Appell's O-functions. / Kurokawa, Nobushige; Wakayama, Masato.

In: Ramanujan Journal, Vol. 10, No. 3, 01.12.2005, p. 291-303.

Research output: Contribution to journalArticle

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